TSTP Solution File: ALG434-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG434-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 18:00:48 EDT 2022

% Result   : Unsatisfiable 0.48s 0.65s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_dvd__trans_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
    | c_Ring__and__Field_Odvd__class_Odvd(Y,Z,X)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(U,Z,X)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(Y,U,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__trans_0) ).

cnf(cls_pq_0,axiom,
    c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pq_0) ).

cnf(cls_CHAINED_0,axiom,
    c_Ring__and__Field_Odvd__class_Odvd(v_q,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).

cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1) ).

cnf(399,plain,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference('HYPERRESOLVE',[status(thm)],[clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).

cnf(473,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_dvd__trans_0,cls_conjecture_0,cls_CHAINED_0,cls_pq_0]),399]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ALG434-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 02:45:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T02:45:20
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-08T02:45:20
% 0.41/0.58  WARNING:
% 0.41/0.58     |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.58  WARNING:
% 0.41/0.58     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.41/0.58  WARNING:
% 0.41/0.58     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.65  
% 0.48/0.65  
% 0.48/0.65  #||
% 0.48/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.65  % SZS output start Refutation
% See solution above
% 0.48/0.65  ||#
% 0.48/0.65  
% 0.48/0.65  ; Summary of computation:
% 0.48/0.65  ;       672 formulas have been input or derived (from 194 formulas).
% 0.48/0.65  ;       473 (70%) were retained.  Of these,
% 0.48/0.65  ;           10 ( 2%) were simplified or subsumed later,
% 0.48/0.65  ;          463 (98%) are still being kept.
% 0.48/0.65  ; 
% 0.48/0.65  ; Run time in seconds:
% 0.48/0.65  ;     0.102  53%   Read assertion file          (1 call)
% 0.48/0.65  ;     0.010   5%   Assert                       (441 calls)
% 0.48/0.65  ;     0.027  14%   Process new row              (559 calls)
% 0.48/0.65  ;     0.008   4%   Resolution                   (386 calls)
% 0.48/0.65  ;     0.001   1%   Paramodulation               (193 calls)
% 0.48/0.65  ;     0.007   4%   Condensing                   (398 calls)
% 0.48/0.65  ;     0.009   5%   Forward subsumption          (398 calls)
% 0.48/0.65  ;     0.001   1%   Backward subsumption         (357 calls)
% 0.48/0.65  ;     0.002   1%   Clause clause subsumption    (352 calls)
% 0.48/0.65  ;     0.003   2%   Forward simplification       (553 calls)
% 0.48/0.65  ;     0.004   2%   Backward simplification      (473 calls)
% 0.48/0.65  ;     0.000   0%   Ordering                     (144 calls)
% 0.48/0.65  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.48/0.65  ;     0.001   1%   Purity testing               (1 call)
% 0.48/0.65  ;     0.017   9%   Other
% 0.48/0.65  ;     0.193        Total
% 0.48/0.65  ;     0.194        Real time
% 0.48/0.65  ; 
% 0.48/0.65  ; Term-hash-array has 945 terms in all.
% 0.48/0.65  ; Feature-vector-row-index has 354 entries (354 at peak, 357 added, 3 deleted).
% 0.48/0.65  ; Feature-vector-row-index has 1,159 nodes (1,159 at peak, 1,165 added, 6 deleted).
% 0.48/0.65  ;  Retrieved 376 possibly forward subsuming rows in 398 calls.
% 0.48/0.65  ;  Retrieved 283 possibly backward subsumed rows in 357 calls.
% 0.48/0.65  ; Path-index has 928 entries (928 at peak, 950 added, 22 deleted).
% 0.48/0.65  ; Path-index has 3,303 nodes (3,303 at peak, 3,331 added, 28 deleted).
% 0.48/0.65  ; Trie-index has 928 entries (928 at peak, 950 added, 22 deleted).
% 0.48/0.65  ; Trie-index has 4,190 nodes (4,190 at peak, 4,272 added, 82 deleted).
% 0.48/0.65  ; Retrieved 100 generalization terms in 301 calls.
% 0.48/0.65  ; Retrieved 133 instance terms in 116 calls.
% 0.48/0.65  ; Retrieved 7,103 unifiable terms in 837 calls.
% 0.48/0.65  ; 
% 0.48/0.65  ; The agenda of input rows to give has 195 entries:
% 0.48/0.65  ;    17 with value 19             11 with value 27               4 with value 34
% 0.48/0.65  ;    15 with value 20              8 with value 28               4 with value 37
% 0.48/0.65  ;    28 with value 21              4 with value 29               1 with value 38
% 0.48/0.65  ;    20 with value 22              9 with value 30               1 with value 39
% 0.48/0.65  ;     5 with value 23              3 with value 31               1 with value 40
% 0.48/0.65  ;    25 with value 24              1 with value 32               3 with value 43
% 0.48/0.65  ;    14 with value 25              5 with value 33               1 with value 47
% 0.48/0.65  ;    15 with value 26
% 0.48/0.65  ; The agenda of rows to give has 74 entries:
% 0.48/0.65  ;    32 with value (4 6)           5 with value (4 12)           6 with value (4 16)
% 0.48/0.65  ;     3 with value (4 8)           3 with value (4 13)           1 with value (4 17)
% 0.48/0.65  ;     3 with value (4 10)          5 with value (4 14)           3 with value (4 18)
% 0.48/0.65  ;     8 with value (4 11)          5 with value (4 15)
% 0.48/0.65  Evaluation took:
% 0.48/0.65    0.195 seconds of real time
% 0.48/0.65    0.180523 seconds of user run time
% 0.48/0.65    0.013994 seconds of system run time
% 0.48/0.65    0 calls to %EVAL
% 0.48/0.65    0 page faults and
% 0.48/0.65    11,793,024 bytes consed.
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T02:45:20
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  * 
%------------------------------------------------------------------------------